Angles are 2x 3x-11 and 2x+9 of a triangle what is the smallest angle

All the angles in a triangle equal 180 degrees. 

So, 2x, 3x-11, and 2x+9= 180

2x+3x-11+2x+9=180 

Combine like terms. 

7x-2=180 

Add two to both sides. 

7x=182

Divide by 7 into both sides. 

x=26 

Now, plug in x.

2x
2(26)= 52

3x-11
3(26)-11
78-11= 67

2x+9
2(26)+9
52+9= 61

2x is the smallest angle. 52<61

I hope this helps!
~kaikers